Combinatorial pyramids and discrete geometry for energy-minimizing segmentation

Details Combinatorial pyramids and discrete geometry for energy-minimizing segmentation Combinatorial pyramids and discrete geometry for energy-minimizing segmentation

2009-06-15

arxiv.org/abs/0906.2770v1

Proc. Int. Symposium on Visual Computing (ISVC2006), Lake Tahoe, Nevada : \'Etats-Unis d'Am\'erique (2006)

Computer Science

Computer Vision and Pattern Recognition

Scientific paper

This paper defines the basis of a new hierarchical framework for segmentation algorithms based on energy minimization schemes. This new framework is based on two formal tools. First, a combinatorial pyramid encode efficiently a hierarchy of partitions. Secondly, discrete geometric estimators measure precisely some important geometric parameters of the regions. These measures combined with photometrical and topological features of the partition allows to design energy terms based on discrete measures. Our segmentation framework exploits these energies to build a pyramid of image partitions with a minimization scheme. Some experiments illustrating our framework are shown and discussed.

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